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denote the waiting time until first entry into a two-year and four-year institutions,

respectively. In this case equation (1) above is replaced by

k2y

S(k2y,k4yz,θ2y β4y) = exp- θ2yexp(rr2y + (β2y)z)

r=1

(1')


k4y

-expYy + (βr4y)z)]

r=1

where the parameters in (1N) have interpretations analogous to those described above.

Now, however, we have a quadruplet of location parameters (θ2y, θ4y, θg, θd) with
distribution function G(
θ2y,θ4y, θg, θd). Again, we assume a mass point structure where
each of the N quadruplets occurs in the population with proportion pn:

N
pn = 1.
n=1

When focusing on those first entering four-year (two-year) institutions, those first
entering two-year (four-year) institutions will subsequently be censored in the likelihood
function.5

4. Data

5The likelihood function for the CR2 model can be derived in a manner similar to that for the DCR model
(see Appendix B). For the sake of brevity, however, we omit its derivation in this paper.

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